8.3 Solving Trig Equations (multiple angles & factoring)

solve: 4cos²x = 3

• 30°, 300°

• 30°, 150°, 210°, 330°

• 60°, 120°

• 60°, 120°, 240°, 300°

solve: 2sin(x/2) = 1

• 60°, 300°

• 60°, 120°

• 300°, 330°

• 210°, 330°

solve: 2sin²(2x) - 7sin(2x) +3 = 0

• 30°, 150°

• 210°, 330°, 30°, 150°

• 300°, 240°

• 15°, 75°

Solve: 2cos(2x)= -√2

• 67.5°, 112.5°

• 135°, 225°

• 45° 135°

• 135°, 225°

Solve for 0≤x≤2π

2cos²x + cosx = 0

• π/2, 3π/2

• 0, π,2π

• 2π/3, 4π/3

• π/3, 5π/3

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSF.TF.A.3

Solve for 0≤x≤2π

2sin²x - 5sinx + 2 = 0

• π/6, 5π/6

• 7π/6, 11π/6

• π/3, 2π/3

• 4π/3, 5π/3

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.TF.B.7

Solve for 0≤x≤2π

3sin²x + sinx - 4 = 0

• 0, π

• π/2

• π/6, 5π/6

• 3π/2

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSF.TF.B.7

Solve on the Interval [0,2π)
tan(x)+1=2

• 0 and π  
• 3π/4 and 7π/4
• π/4 and 5π/4
• 3π/4 and 5π/4

Tags

CCSS.HSF.TF.B.7

• 5π∕6 + 2πn, 7π/6 + 2πn
• π/3 + 2πn, 2π/3 + 2πn
• 5π/12 +πn, 7π/12 +πn
• 2π/3 +πn, 4π/3 +πn

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.7

CCSS.HSF.TF.C.8

Solve for 0≤x≤2π

2sin²x - sinx = 0

• 0, π, 2π

• π/2, 3π/2

• π/6, 5π/6

• π/3, 2π/3

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4